Nonlinear waves and coherent structures in the quantum single-wave model

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3651190· OSTI ID:22046955

Tzenov, Stephan I ^[1]; Marinov, Kiril B ^[2]

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1. Department of Physics, Lancaster University, Lancaster LA1 4YB (United Kingdom)
2. ASTeC, STFC Daresbury Laboratory, Keckwick Lane, Daresbury WA4 4AD (United Kingdom)

Starting from the von Neumann-Maxwell equations for the Wigner quasi-probability distribution and for the self-consistent electric field, the quantum analog of the classical single-wave model has been derived. The linear stability of the quantum single-wave model has been studied, and periodic in time patterns have been found both analytically and numerically. In addition, some features of quantum chaos have been detected in the unstable region in parameter space. Further, a class of standing-wave solutions of the quantum single-wave model has also been found, which have been observed to behave as stable solitary-wave structures. The analytical results have been finally compared to the exact system dynamics obtained by solving the corresponding equations in Schrodinger representation numerically.

• OSTI ID: 22046955
• Journal Information: Physics of Plasmas, Vol. 18, Issue 10; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CHAOS THEORY
ELECTRIC FIELDS
ELECTRON TEMPERATURE
ION TEMPERATURE
MATHEMATICAL SOLUTIONS
MAXWELL EQUATIONS
NONLINEAR PROBLEMS
PERIODICITY
PLASMA
PLASMA DENSITY
PLASMA INSTABILITY
SCHROEDINGER EQUATION
SCHROEDINGER PICTURE
STANDING WAVES
WIGNER DISTRIBUTION